121 LearnersLast updated on June 9th, 2025
Factors of 1490
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1490, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1490?
The numbers that divide 1490 evenly are known as factors of 1490.
A factor of 1490 is a number that divides the number without remainder.
The factors of 1490 are 1, 2, 5, 10, 149, 298, 745, and 1490.
Negative factors of 1490: -1, -2, -5, -10, -149, -298, -745, and -1490.
Prime factors of 1490: 2, 5, and 149.
Prime factorization of 1490: 2 × 5 × 149.
The sum of factors of 1490: 1 + 2 + 5 + 10 + 149 + 298 + 745 + 1490 = 2700
How to Find Factors of 1490?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1490. Identifying the numbers which are multiplied to get the number 1490 is the multiplication method.
Step 1: Multiply 1490 by 1, 1490 × 1 = 1490.
Step 2: Check for other numbers that give 1490 after multiplying
2 × 745 = 1490
5 × 298 = 1490
10 × 149 = 1490
Therefore, the positive factor pairs of 1490 are: (1, 1490), (2, 745), (5, 298), (10, 149). All these factor pairs result in 1490.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1490 by 1, 1490 ÷ 1 = 1490.
Step 2: Continue dividing 1490 by the numbers until the remainder becomes 0.
1490 ÷ 1 = 1490
1490 ÷ 2 = 745
1490 ÷ 5 = 298
1490 ÷ 10 = 149
Therefore, the factors of 1490 are: 1, 2, 5, 10, 149, 298, 745, 1490.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1490 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1490 ÷ 2 = 745
745 ÷ 5 = 149
149 ÷ 149 = 1
The prime factors of 1490 are 2, 5, and 149.
The prime factorization of 1490 is: 2 × 5 × 149.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1490 is divided by 2 to get 745.
Step 2: Now divide 745 by 5 to get 149.
Step 3: 149 is a prime number and cannot be divided further. So, the prime factorization of 1490 is: 2 × 5 × 149.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1490: (1, 1490), (2, 745), (5, 298), (10, 149).
Negative factor pairs of 1490: (-1, -1490), (-2, -745), (-5, -298), (-10, -149).
Common Mistakes and How to Avoid Them in Factors of 1490
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1490, 1 and 1490 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 1490 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1490/1.5 = 993.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1490 are prime numbers. For example, 2, 5, and 149 are the prime factors of 1490, but it has other factors like 10, 298.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1490 as 2 × 5 × 149 and missing all the key factors.
Factors of 1490 Examples
Problem 1
There are 149 students and 1490 candies. How will they divide it equally?
They will get 10 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of students.
1490/149 = 10
Problem 2
A field is rectangular, the length of the field is 5 meters and the total area is 1490 square meters. Find the width?
298 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
1490 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1490/5 = width
Width = 298.
Problem 3
There are 298 gift bags and 1490 chocolates. How many chocolates will be in each bag?
Each bag will have 5 chocolates.
Explanation
To find the chocolates in each bag, divide the total chocolates with the bags.
1490/298 = 5
Problem 4
In a class, there are 1490 students, and 10 groups. How many students are there in each group?
There are 149 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1490/10 = 149
Problem 5
1490 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 298 books.
Explanation
Divide total books with shelves.
1490/5 = 298
FAQs on Factors of 1490
1.What are the factors of 1490?
2.Mention the prime factors of 1490.
3.Is 1490 a multiple of 2?
4.Mention the factor pairs of 1490?
5.What is the square of 1490?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1490?
7.What are some fun ways kids in Philippines can practice Factors of 1490 with numbers?
8.What role do numbers and Factors of 1490 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1490 skills?
Important Glossaries for Factor of 1490
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1490 are 1, 2, 5, 10, 149, 298, 745, and 1490.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 149 are prime factors of 1490.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1490 are (1, 1490), (2, 745), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1490 is 2 × 5 × 149.
- Negative factors: The negative counterparts of the positive factors of a number. For example, the negative factors of 1490 are -1, -2, -5, -10, -149, -298, -745, and -1490.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
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